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Finding the Third Proportional to 54,275 and 83,475

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Solution

The third proportional to 54,275 and 83,475 is: 128,384.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,275 : 83,475 = 83,475 : x
  2. Step 2: Convert to fraction form
    54,275/83,475 = 83,475/x
  3. Step 3: Cross multiply
    54,275x = 83,475 × 83,475
  4. Step 4: Simplify right side
    54,275x = 6,968,075,625
  5. Step 5: Solve for x
    x = 6,968,075,625/54,275
  6. Step 6: Final answer
    x = 128,384.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.